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Weibull MTBF

Weibull distribution mean: MTBF = η · Γ(1 + 1/β). Useful when β ≠ 1 (wear-out or infant-mortality).

MaintenanceWeibull
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Formula, assumptions, and limits

MTBF=ηΓ ⁣(1+1β)\text{MTBF} = \eta \cdot \Gamma\!\left(1 + \tfrac{1}{\beta}\right)
SymbolMeaningUnit
ηηWeibull scaleh
ββWeibull shape
ΓΓGamma function

Source: Abernethy - The New Weibull Handbook

In short

Weibull distribution mean: MTBF = \u03b7 \u00b7 \u0393(1 + 1/\u03b2).

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